3 × 5² × 7³ × 19

Prime Factor Structure

Factorization String 3 × 5^2 × 7^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 992,000

Proper Divisor Sum 503,225

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #488759 ← → #488779

1 3 5 7 15 19 21 25 35 49 57 75 95 105 133 147 175 245 285 343 399 475 525 665 735 931 1,029 1,225 1,425 1,715 1,995 2,793 3,325 3,675 4,655 5,145 6,517 8,575 9,975 13,965 19,551 23,275 25,725 32,585 69,825 97,755 162,925 488,775

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

488,775 1,466,326 733,163 2,199,490 1,099,745 3,299,236 1,649,618 824,809 2,474,428 1,237,214 618,607 1,855,822 927,911 2,783,734 1,391,867 4,175,602 2,087,801 6,263,404 3,131,702 1,565,851 4,697,554 2,348,777 7,046,332 3,523,166 1,761,583 5,284,750 2,642,375 7,927,126 3,963,563 11,890,690 5,945,345 17,836,036 8,918,018 4,459,009 13,377,028 6,688,514 3,344,257 10,032,772 5,016,386 2,508,193 7,524,580 3,762,290 1,881,145 5,643,436 2,821,718 1,410,859 4,232,578 2,116,289 6,348,868 3,174,434 1,587,217 4,761,652 2,380,826 1,190,413 3,571,240 1,785,620 892,810 446,405 1,339,216 669,608

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.